Evaluate
-\frac{1}{\sqrt[3]{yz}}
Differentiate w.r.t. y
\frac{1}{3\sqrt[3]{z}y^{\frac{4}{3}}}
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\left(-y\right)^{-\frac{1}{3}}z^{-\frac{1}{3}}
Expand \left(\left(-y\right)z\right)^{-\frac{1}{3}}.
\left(-1\right)^{-\frac{1}{3}}y^{-\frac{1}{3}}z^{-\frac{1}{3}}
Expand \left(-y\right)^{-\frac{1}{3}}.
-y^{-\frac{1}{3}}z^{-\frac{1}{3}}
Calculate -1 to the power of -\frac{1}{3} and get -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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